# Worksheet: Integers on a Number Line

In this worksheet, we will practice graphing an integer on a number line, writing its opposite, and deriving the relationship between that integer and its opposite.

Q1:

What number is the opposite of negative nine?

Q2:

Which three integers lie between and its opposite on a number line?

• A
• B
• C
• D
• E

Q3:

On a number line, which integer is halfway between any number and its opposite?

• AThe number’s opposite
• BThe number
• CZero

Q4:

What is the opposite of zero?

• Ait doesn’t have one
• Bzero
• Cany number

Q5:

William knows that is 5 units to the left of zero on a number line, and that the opposite of is 5 because it is the same distance from zero in the opposite direction. What is the relationship between and the opposite of 5?

• AThey are the same.
• BThey are opposites.

Q6:

Two numbers, and , are opposite one another. If is 3 units to the right of 8 on a number line, determine the value of .

Q7:

The freezing point of water is , while its boiling point is . If we represent these temperatures by integers on a number line, will they be opposites of each other?

• Ano
• Byes

Q8:

Select the number line which contains opposite quantities that add up to zero.

• A • B • C • D • E Q9: What distance away from zero is the selected number?

If you start at the selected number and move toward zero, do the numbers get smaller or larger?

• Asmaller
• Blarger

If you start at the number that is opposite the selected number and move toward zero, do the numbers get smaller or larger?

• Alarger
• Bsmaller

Q10:

The integer is the opposite of 7 because they are the same distance from 0 on a number line, but in opposite directions. Jennifer wrote that the opposite of is , what number is this?

Q11:

Which of the following is true? • A
• B
• C
• D
• E

Q12:

What sum does this diagram represent? • A
• B
• C
• D
• E

Q13:

Use the number line to choose the smaller of the two numbers. Remember that numbers get smaller as you move to the left.

• Athe opposite of the opposite of
• Bthe opposite of

Q14:

Which of the following will you get if you add A and B? • Aa positive number
• Bzero
• Ca negative number

Q15:

Determine whether the following statement is true or false: The opposite of the opposite of a number is the original number.

• Atrue
• Bfalse

Q16:

The city of Brawley in California has an elevation of 111.9 feet below sea level. Write a number that represents the elevation of the city.

If we plot the opposite of this number on a number line, between which two integers will it lie?

• A0 and 111
• B111 and 112
• C110 and 111
• D and
• E and 0

Q17:

What sum does this diagram represent? • A
• B
• C
• D
• E

Q18:

What sum does this diagram represent? • A
• B
• C
• D
• E

Q19:

What sum does this diagram represent? • A
• B
• C
• D
• E

Q20:

In the following number line, find the value of the opposite of point A so that their values add up to 0. Q21:

A class were using number lines to find the opposite of a number by looking at the distance from zero. After doing some examples, a student said “the opposite of the opposite of a number will always be negative”. Is this true or false?

• Atrue
• Bfalse

Q22:

Fill in the blanks with positive or negative: Numbers to the right of zero are numbers, while numbers to the left of zero are numbers. • Apositive, negative
• Bnegative, positive

Q23:

Using the number line, find the value of . Q24:

Which point shows ? • A
• B
• C
• D
• E

Q25:

What is the number 6 units to the left of on a number line?